scholarly journals Lie Symmetry Analysis and Wave Propagation in Variable-Coefficient Nonlinear Physical Phenomena

2022 ◽  
Vol 12 (1) ◽  
pp. 201-212
Author(s):  
Mohamed R. Ali
Keyword(s):  
Wave Propagation ◽  
Variable Coefficient ◽  
Lie Symmetry ◽  
Symmetry Analysis ◽  
Lie Symmetry Analysis ◽  
Nonlinear Physical Phenomena ◽  
Physical Phenomena

scholarly journals New Soliton Solutions of Fractional Jaulent-Miodek System with Symmetry Analysis

Symmetry ◽  
2020 ◽  
Vol 12 (6) ◽  
pp. 1001 ◽  
Author(s):  
Subhadarshan Sahoo ◽  
Santanu Saha Ray ◽  
Mohamed Aly Mohamed Abdou ◽  
Mustafa Inc ◽  
Yu-Ming Chu
Keyword(s):  
Conservation Laws ◽  
Fractional Differential Equations ◽  
Soliton Solutions ◽  
Logistic Function ◽  
Lie Symmetry ◽  
Symmetry Analysis ◽  
Analysis Method ◽  
Lie Symmetry Analysis ◽  
Fractional Differential ◽  
Physical Phenomena

New soliton solutions of fractional Jaulent-Miodek (JM) system are presented via symmetry analysis and fractional logistic function methods. Fractional Lie symmetry analysis is unified with symmetry analysis method. Conservation laws of the system are used to obtain new conserved vectors. Numerical simulations of the JM equations and efficiency of the methods are presented. These solutions might be imperative and significant for the explanation of some practical physical phenomena. The results show that present methods are powerful, competitive, reliable, and easy to implement for the nonlinear fractional differential equations.

Lie symmetry analysis of a variable coefficient Calogero–Degasperis equation

2018 ◽  
Vol 93 (10) ◽  
pp. 105202 ◽  
Author(s):  
Christodoulos Sophocleous ◽  
Rita Tracinà
Keyword(s):  
Variable Coefficient ◽  
Lie Symmetry ◽  
Symmetry Analysis ◽  
Lie Symmetry Analysis
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